Abstract geometrical computation for Black hole computation (extended abstract)

Abstract

(eng) The Black hole model of computation provides a computing power that goes beyond the classical Turing computability since it offers the possibility to decide in finite time any recursively enumerable (\RE) problem. In this article, we provide a geometric model of computation, conservative abstract geometrical computation, that has the same property: it can simulate any Turing machine and can decide any \RE problem through the creation of an accumulation. Finitely many signals can leave any accumulation, and it can be known whether anything leaves. This corresponds to a black hole artifact.